On the onset of quantum fluctuations and chaotic probability

In general terms, non-conservation is introduced ad-hoc into the equations, in order to get a realistic description. Whether conservative or not, the behavior of the solution is univocal. Here we study two coupled difference logistic equations. Now the system is not univocally conservative: during a period of time, it will be conservative with Haursdorff dimension DH ≤ 1 and finally, a smallest perturbation will get over dimension 1 ≤ DH ≤ 2. We use this model in order to mimic the onset of quantum fluctuations. They are simulated when the value of this parameter approches that signaling the onset of chaos.